메뉴 건너뛰기




Volumn 62, Issue 3, 2011, Pages 1472-1481

Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation

Author keywords

Fractional differential equation; Optimal control; Transposition method

Indexed keywords

ADMISSIBLE CONTROL; BOUNDED DOMAIN; CONVEX SET; DIRICHLET BOUNDARY; FRACTIONAL DIFFERENTIAL EQUATIONS; FRACTIONAL DIFFUSION EQUATION; NON-HOMOGENEOUS; OPTIMAL CONTROLS; OPTIMALITY SYSTEM; RIEMANN-LIOUVILLE SENSE; TIME DERIVATIVE; TRANSPOSITION METHOD;

EID: 79960978683     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2011.03.025     Document Type: Article
Times cited : (33)

References (33)
  • 1
    • 0035538580 scopus 로고    scopus 로고
    • Spectral analysis of fractional kinetic equations with random data
    • DOI 10.1023/A:1010474332598
    • V.V. Anh, and N.N. Leonenko Spectral analysis of fractional kinetic equations with random data Journal of Statistical Physics 104 2001 1349 1387 (Pubitemid 33386576)
    • (2001) Journal of Statistical Physics , vol.104 , Issue.5-6 , pp. 1349-1387
    • Anh, V.V.1    Leonenko, N.N.2
  • 2
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: A fractional dynamics approch
    • R. Metzler, and J. Klafter The random walk's guide to anomalous diffusion:a fractional dynamics approch Physics Reports 339 2000 1 77
    • (2000) Physics Reports , vol.339 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 4
    • 0001983732 scopus 로고    scopus 로고
    • Some basic problem in continuum and statiscal mechanics
    • A. Carpinteri, F. Mainardi, CISM Courses and Lecture Springer-Verlag Wien
    • F. Mainardi Some basic problem in continuum and statiscal mechanics A. Carpinteri, F. Mainardi, Fractals and Fractional Calculus in Continuum Mechanics CISM Courses and Lecture vol. 378 1997 Springer-Verlag Wien 291 348
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics , vol.378 , pp. 291-348
    • Mainardi, F.1
  • 5
    • 0031379356 scopus 로고    scopus 로고
    • Model of diffusion wavs in viscoelasticity based on fractal calculus
    • O.R. Gonzales, IEEE New york
    • F. Mainardi, and P. Paradisi Model of diffusion wavs in viscoelasticity based on fractal calculus. O.R. Gonzales, Proceedings of IEEE Conference of Decision and Control vol. 5 1997 IEEE New york 4961 4966
    • (1997) Proceedings of IEEE Conference of Decision and Control , vol.5 , pp. 4961-4966
    • Mainardi, F.1    Paradisi, P.2
  • 6
    • 0037457788 scopus 로고    scopus 로고
    • The wright functions as solutions of time-fractional diffusion equation
    • Francesco Mainardi, and Gianni Pagnini The wright functions as solutions of time-fractional diffusion equation Applied Mathematics and Computation 141 2003 51 62
    • (2003) Applied Mathematics and Computation , vol.141 , pp. 51-62
    • Mainardi, F.1    Pagnini, G.2
  • 8
    • 62849085116 scopus 로고    scopus 로고
    • A central difference numerical scheme for fractional optimal control problems
    • O.P. Agrawal, and D. Baleanu A central difference numerical scheme for fractional optimal control problems Journal of Vibration and Control 15 4 2009 583 597
    • (2009) Journal of Vibration and Control , vol.15 , Issue.4 , pp. 583-597
    • Agrawal, O.P.1    Baleanu, D.2
  • 9
    • 0001859932 scopus 로고    scopus 로고
    • A general solution for the fourth-order fractional diffusion-wave equation
    • O.P. Agrawal A general solution for the fourth-order fractional diffusion-wave equation Fractional Calculus and Applied Analysis 3 2000 1 12
    • (2000) Fractional Calculus and Applied Analysis , vol.3 , pp. 1-12
    • Agrawal, O.P.1
  • 10
    • 0035359131 scopus 로고    scopus 로고
    • A general solution for a fourth-order fractional diffusion-wave equation defined in a bounded domain
    • DOI 10.1016/S0045-7949(01)00026-8, PII S0045794901000268
    • O.P. Agrawal A general solution for a fourth-order fractional diffusion-wave equation defined in a bounded domain Computers & Structures 79 2001 1497 1501 (Pubitemid 32724603)
    • (2001) Computers and Structures , vol.79 , Issue.16 , pp. 1497-1501
    • Agrawal, O.P.1
  • 11
    • 0009481303 scopus 로고
    • The fractional diffusion equation
    • W. Wyss The fractional diffusion equation Journal of Mathematical Physics 27 1986 2782 2785
    • (1986) Journal of Mathematical Physics , vol.27 , pp. 2782-2785
    • Wyss, W.1
  • 15
    • 0026838776 scopus 로고
    • A penelization method for optimal control of elliptic problems with state constraints
    • M. Bergounioux A penelization method for optimal control of elliptic problems with state constraints SIAM Journal on Control and Optimization 30 2 1992 305 323
    • (1992) SIAM Journal on Control and Optimization , vol.30 , Issue.2 , pp. 305-323
    • Bergounioux, M.1
  • 16
    • 15544379439 scopus 로고    scopus 로고
    • A general formulation and solution scheme for fractional optimal control problems
    • DOI 10.1007/s11071-004-3764-6
    • O.P. Agrawal A general formulation and solution scheme for fractional optimal control problems Nonlinear Dynamics 38 2004 323 337 (Pubitemid 40400624)
    • (2004) Nonlinear Dynamics , vol.38 , Issue.1-4 , pp. 323-337
    • Agrawal, O.P.1
  • 17
    • 47249146999 scopus 로고    scopus 로고
    • Fractional optimal control of a distributed system using eigenfunctions
    • 10.1115/1.2833873
    • O.P. Agrawal Fractional optimal control of a distributed system using eigenfunctions Journal of Computational and Nonlinear Dynamics 2008 10.1115/1.2833873
    • (2008) Journal of Computational and Nonlinear Dynamics
    • Agrawal, O.P.1
  • 18
    • 0036701004 scopus 로고    scopus 로고
    • Formulation of Euler-Lagrange equations for fractional variational problems
    • O.P. Agrawal Formulation of Euler-Lagrange equations for fractional variational problems Journal of Mathematical Analysis 272 2002 368 379
    • (2002) Journal of Mathematical Analysis , vol.272 , pp. 368-379
    • Agrawal, O.P.1
  • 19
    • 53949093156 scopus 로고    scopus 로고
    • Fractional optimal control in the sense of caputo and the fractional Noether's Theorem
    • S.F. Frederico Gastao, and F.M. Torres Delfim Fractional optimal control in the sense of caputo and the fractional Noether's Theorem International Mathematical Forum 3 10 2008 479 493
    • (2008) International Mathematical Forum , vol.3 , Issue.10 , pp. 479-493
    • Frederico Gastao, S.F.1    Torres Delfim, F.M.2
  • 20
    • 57549096344 scopus 로고    scopus 로고
    • Fractional optimal control problem of a distributed system in cylindrical coordinates
    • Necati zdemir, Derya Karadeniz, and Beyza B. Skender Fractional optimal control problem of a distributed system in cylindrical coordinates Physics Letters A 373 2009 221 226
    • (2009) Physics Letters A , vol.373 , pp. 221-226
    • Zdemir, N.1    Karadeniz, D.2    Skender, B.B.3
  • 21
    • 67649553786 scopus 로고    scopus 로고
    • Optimality conditions and a solution scheme for fractional optimal control problems
    • Zoran D. Jelicic Nebojsa Petrovacki Optimality conditions and a solution scheme for fractional optimal control problems Structural and Multidisciplinary Optimization 38 6 2009 571 581
    • (2009) Structural and Multidisciplinary Optimization , vol.38 , Issue.6 , pp. 571-581
    • Jelicic Nebojsa Petrovacki, Z.D.1
  • 22
    • 78649510179 scopus 로고    scopus 로고
    • Fractional optimal control problems with several state and control variables
    • O.P. Agrawal, O. Defterli, and D. Baleanu Fractional optimal control problems with several state and control variables Journal of Vibration and Control 16 13 2010 1967 1976
    • (2010) Journal of Vibration and Control , vol.16 , Issue.13 , pp. 1967-1976
    • Agrawal, O.P.1    Defterli, O.2    Baleanu, D.3
  • 23
    • 77958009389 scopus 로고    scopus 로고
    • A class of fractional evolution equations and optimal controls
    • J.R. Wang, and Y. Zhou A class of fractional evolution equations and optimal controls Nonlinear Analysis: Real World Applications 12 2011 262 272
    • (2011) Nonlinear Analysis: Real World Applications , vol.12 , pp. 262-272
    • Wang, J.R.1    Zhou, Y.2
  • 30
    • 79961002587 scopus 로고    scopus 로고
    • Overview to mathematical analysis for fractional diffusion equationsnew mathematical aspects motivated by industrial collaboration
    • 2010A-10
    • Junichi Nakagawa, Kenichi Sakamoto, Masahiro Yamamoto, Overview to mathematical analysis for fractional diffusion equationsnew mathematical aspects motivated by industrial collaboration, Journal of Mathematics for Industry 2 (2010A-10) 99108.
    • Journal of Mathematics for Industry , vol.2 , pp. 99108
    • Nakagawa, J.1    Sakamoto, K.2    Yamamoto, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.